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Finding the Third Proportional to 335,871 and 723,717

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Solution

The third proportional to 335,871 and 723,717 is: 1,559,426.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,871 : 723,717 = 723,717 : x
  2. Step 2: Convert to fraction form
    335,871/723,717 = 723,717/x
  3. Step 3: Cross multiply
    335,871x = 723,717 × 723,717
  4. Step 4: Simplify right side
    335,871x = 523,766,296,089
  5. Step 5: Solve for x
    x = 523,766,296,089/335,871
  6. Step 6: Final answer
    x = 1,559,426.97

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.